What is the Greatest Common Factor of 38916 and 38934?

Greatest common factor (GCF) of 38916 and 38934 is 18.

GCF(38916,38934) = 18

We will now calculate the prime factors of 38916 and 38934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38916 and 38934.

How to find the GCF of 38916 and 38934?

We will first find the prime factorization of 38916 and 38934. After we will calculate the factors of 38916 and 38934 and find the biggest common factor number .

Step-1: Prime Factorization of 38916

Prime factors of 38916 are 2, 3, 23, 47. Prime factorization of 38916 in exponential form is:

38916 = 2² × 3² × 23¹ × 47¹

Step-2: Prime Factorization of 38934

Prime factors of 38934 are 2, 3, 7, 103. Prime factorization of 38934 in exponential form is:

38934 = 2¹ × 3³ × 7¹ × 103¹

Step-3: Factors of 38916

List of positive integer factors of 38916 that divides 38916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 47, 69, 92, 94, 138, 141, 188, 207, 276, 282, 414, 423, 564, 828, 846, 1081, 1692, 2162, 3243, 4324, 6486, 9729, 12972, 19458

Step-4: Factors of 38934

List of positive integer factors of 38934 that divides 38916 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 103, 126, 189, 206, 309, 378, 618, 721, 927, 1442, 1854, 2163, 2781, 4326, 5562, 6489, 12978, 19467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38916 and 38934. The biggest common factor number is the GCF number.
So the greatest common factor 38916 and 38934 is 18.

Also check out the Least Common Multiple of 38916 and 38934